9. Prove: csc(x)-csc(x)cos² (x) = sin(x)

Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: If cos(0) = sin(0) = - 1 and is in quadrant III, find the exact value of sin(0). 9

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Q: TO 1 1 3 2 -a 2 123 b 1 3 1 0 1 0 0 3. C Ld- 3 UAN со 2 4 5

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Q: Solve the right triangle with hypotenuse 28 and one of the acute ngles 42°.

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Q: - Save & Exit Certify Lesson: 1.6b Operations with Functions Question 1 of 10, Step 1 of 1 If f(x) =…

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: The profit P for a company is P = 100xe-x/650,where x is sales. Approximate, using differentials,…

A: The given problem is solved below in detail.

Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: A manufacturer can produce 2970 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

Q: Suppose that we have found a value of 8 such that ε = What numbers should go in the blanks such that…

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Q: You are a corporate attorney who earns $300 for each hour you work. You want a vegan poutine. The…

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Q: We are trying to prove the following limit. 1 Suppose that we have found a value of & such that e =…

A: According to the ε-δ definition of limits says that the limit of f(x) at x=c is L if for any ε>0…

Q: Given the function f(r) = (r - 1)(r + 2)(r6) its f-intercept is ( its r-intercepts are Invalid…

A: Here we will find the f(r) intercept and r-intercepts,

Q: w = xy cos z, x = t₁ y = t5, z = arccos t (a) Find dw/dt by using the appropriate Chain Rule. dw =…

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Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

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Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 100° (x,y) =…

A: I have appended the formula used in the solution part of the question

Q: Complete the following steps for the given​ function, interval, and value of n.   a. Sketch the…

A: Let's solve.

Q: 1. Solve for y3 using the method of successive approximation. dy dx = x+y; y(1) = 1

A: Given Data,y1 = 1dydx = x + y

Q: Suppose f(x) is the total number of children that have a disease, and is the number of days since…

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Q: Evaluate the integral: dw J 2000 5 W8 W8

A: I have stated the used formulas in the solution

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A: Since, the given function is fx,y=39-x2-y2 -(i)and the given constraint is x+6y=37 -(ii)Rewriting…

Q: Evaluate the limit: lim h→0 (−5+h)² - 25 h

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Q: Σ + 1 + sin2 η 10η n=1

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Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: The derivative of a function of f at æ is given by provided the limit exists. f(x+h)-f(x) = Use the…

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Q: Evaluate the limit: lim (6x47x)= I→ 2 =

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Q: (i) Find all first and second order partial derivatives of f(x, y) = x²y + cos(xy) (ii) Find lim xy²…

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Q: ГО Г0 1 3 2 -а 1 2 123 b 1 3 1 0 1 0 0 3. C Ld. 324 [5]

A: 0132212313101003abcd = 3245 from this find a,b,c,d using gauss elimination method using this method…

Q: 1. The point (-2, 5) lies on the circle whose center is at (-1,-3). Write the standard form of the…

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Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

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Q: The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04…

A: We need to find out the possible error in the volume and also in the surface area and also the…

Q: 5.) Use linear approximation to estimate f(0.1, −0.9) x² sin x In(y² + 1) Y f(x, y) = of th + x+1…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the approximate…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: If f(x) = 3x²-3x + 2, find f'(1). Use this to find the equation of the tangent line to the parabola…

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Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: Given :y4-4y''=t2+et

Q: 5. Determine the minimum and maximum values for y = 250(0.90)* for 0 ≤ x ≤ 6.

A: Given data y=2500.90x   To find maxima and minima we need to find critical points by equating dydx=0…

Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

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Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

A: Solve the following

Q: function X-1 if X<1 f(x)= 0 if 1≤X24 X-2 if X34 20 a. Graph the given b. define values where, it is…

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Q: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second…

A: This question can be solved using the concept of system of linear equations.

Q: Let g be the function g(x)=x²-x. Find g(-a). O None of these. O-a² + a O a² +1 O-a²-a O a² + a O…

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